Generalized turing patterns and their selective realization in spatiotemporal systems

Rangarajan, Govindan ; Chen, Yonghong ; Ding, Mingzhou (2003) Generalized turing patterns and their selective realization in spatiotemporal systems Physics Letters A, 310 (5-6). pp. 415-422. ISSN 0375-9601

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/S0375-9601(03)00447-X

Abstract

We consider the pattern formation problem in coupled identical systems after the global synchronized state becomes unstable. Based on analytical results relating the coupling strengths and the instability of each spatial mode (pattern) we show that these spatial patterns can be selectively realized by varying the coupling strengths along different paths in the parameter space. Furthermore, we discuss the important role of the synchronized state (fixed point versus chaotic attractor) in modulating the temporal dynamics of the spatial patterns.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:73215
Deposited On:02 Dec 2011 09:47
Last Modified:02 Dec 2011 09:47

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